Home / 1,177.25-1,766.07-446.85

Finding the Fourth Proportional to 1,177.25, 1,766.07 and 446.85

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Solution

The fourth proportional to 1,177.25, 1,766.07 and 446.85 is: 670.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.25 : 1,766.07 = 446.85 : x
  2. Step 2: Convert to fraction form
    1,177.25/1,766.07 = 446.85/x
  3. Step 3: Cross multiply
    1,177.25x = 1,766.07 × 446.85
  4. Step 4: Simplify right side
    1,177.25x = 789,168.38
  5. Step 5: Solve for x
    x = 789,168.38/1,177.25
  6. Step 6: Final answer
    x = 670.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.